10167264 has 72 divisors (see below), whose sum is σ = 29621592. Its totient is φ = 3306240.

The previous prime is 10167263. The next prime is 10167277. The reversal of 10167264 is 46276101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10167263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11974 + ... + 12794.

It is an arithmetic number, because the mean of its divisors is an integer number (411411).

Almost surely, 2^10167264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10167264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810796).

10167264 is an abundant number, since it is smaller than the sum of its proper divisors (19454328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10167264 is a wasteful number, since it uses less digits than its factorization.

10167264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10167264 is about 3188.6147462495. The cubic root of 10167264 is about 216.6380311926.

The spelling of 10167264 in words is "ten million, one hundred sixty-seven thousand, two hundred sixty-four".